Small-sample estimators of the quantiles of the normal and lognormal distributions

N.T. Longford

Abstract

Estimators of the quantiles of the normal and lognormal distributions are derived. They are more efficient than the established estimators, by a wide margin for small samples and high quantiles of the lognormal distribution. Although their evaluation is iterative, it requires only moderate amount of computing, independent of the sample size.

Appeared in August 2012